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28275642 = 234347503
BaseRepresentation
bin110101111011…
…1001110111010
31222012112220000
41223313032322
524214310032
62450013430
7462224163
oct153671672
958175800
1028275642
1114a629aa
129577276
135b20165
143a8076a
152737e7c
hex1af73ba

28275642 has 40 divisors (see below), whose sum is σ = 63667296. Its totient is φ = 9379368.

The previous prime is 28275619. The next prime is 28275647. The reversal of 28275642 is 24657282.

28275642 is a `hidden beast` number, since 2 + 8 + 2 + 7 + 5 + 642 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 28275597 and 28275606.

It is not an unprimeable number, because it can be changed into a prime (28275647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 55963 + ... + 56465.

Almost surely, 228275642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28275642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31833648).

28275642 is an abundant number, since it is smaller than the sum of its proper divisors (35391654).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

28275642 is a wasteful number, since it uses less digits than its factorization.

28275642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 855 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 28275642 is about 5317.4845556898. The cubic root of 28275642 is about 304.6520873873.

The spelling of 28275642 in words is "twenty-eight million, two hundred seventy-five thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 347 503 694 1006 1041 1509 2082 3018 3123 4527 6246 9054 9369 13581 18738 27162 28107 40743 56214 81486 174541 349082 523623 1047246 1570869 3141738 4712607 9425214 14137821 28275642